Computer Laboratory

Course pages 2011–12


Temporal Logic and Model Checking

Lecturer: Professor M.J.C. Gordon

No. of lectures: 8

Prerequisite course: Logic and Proof


The aim of the course is to introduce the use of temporal logic for specifying properties of hardware and software and model checking as a method for checking that properties hold or finding counter-examples.


  • State transition systems. Representation of state spaces. Reachable states.

  • Checking reachability properties Fixed-point calculations. Symbolic methods using binary decision diagrams. Finding counter-examples.

  • Examples. Various uses of reachability calculations.

  • Temporal properties. Linear and branching time. Intervals. Path quantifiers.

  • Temporal logic. Brief history (Prior to Pnueli). CTL and LTL. Standarised logics: PSL.

  • Model checking. Simple algorithms for verifying that temporal properties hold. Reachability analysis as a special case.

  • Applications. Software and hardware examples.

  • Advanced methods. Brief introduction to recent development, e.g. Counter-example guided abstraction refinement (CEGAR).


At the end of the course students should

  • be able to write properties in a variety of temporal logic;

  • be familiar with the core ideas of model checking;

  • understand what commercial model checking tools can be used for.

Recommended reading

Huth, M. & Ryan M. (2004). Logic in Computer Science: Modelling and Reasoning about Systems. Cambridge University Press (2nd ed.).